|Location:||MSRI: Simons Auditorium, Online/Virtual|
What Have PDE To Do With Non-Local Dirichlet Forms In Metric Setting, And How To Non-Linearize Them?
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In this talk I will give an introduction to a connection between PDE (associated with a strongly local phenomenon) and non-local phenomenon such as jump processes, extending the work of Caffarelli and Silvestre to the metric setting. This leads to constructions of fractional powers of Laplacians, and their non-linear counterparts, fractional p-Laplacians. The talk is based on joint work with Luca Capogna, Riikka Korte, Josh Kline, and Marie Snipes.No Notes/Supplements Uploaded